Finding the Fourth Proportional to 3,781.89, 5,664.63 and 1,830

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.89 : 5,664.63 = 1,830 : x
2. Step 2: Convert to fraction form
   3,781.89/5,664.63 = 1,830/x
3. Step 3: Cross multiply
   3,781.89x = 5,664.63 × 1,830
4. Step 4: Simplify right side
   3,781.89x = 10,366,272.90
5. Step 5: Solve for x
   x = 10,366,272.90/3,781.89
6. Step 6: Final answer
   x = 2,741.03